Solve for b -1/4=-1/6b-7/8

$- \frac{1}{4} = - \frac{1}{6} b - \frac{7}{8}$

Rewrite the equation as $- \frac{1}{6} b - \frac{7}{8} = - \frac{1}{4}$ .

$- \frac{1}{6} b - \frac{7}{8} = - \frac{1}{4}$

Combine $b$ and $\frac{1}{6}$ .

$- \frac{b}{6} - \frac{7}{8} = - \frac{1}{4}$

Move all terms not containing $b$ to the right side of the equation.

Add $\frac{7}{8}$ to both sides of the equation.

$- \frac{b}{6} = - \frac{1}{4} + \frac{7}{8}$

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{b}{6} = - \frac{1}{4} \cdot \frac{2}{2} + \frac{7}{8}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$- \frac{b}{6} = - \frac{2}{4 \cdot 2} + \frac{7}{8}$

Multiply $4$ by $2$ .

$- \frac{b}{6} = - \frac{2}{8} + \frac{7}{8}$

Combine the numerators over the common denominator.

$- \frac{b}{6} = \frac{- 2 + 7}{8}$

Add $- 2$ and $7$ .

$- \frac{b}{6} = \frac{5}{8}$

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{b}{6}) = - 6 (\frac{5}{8})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 6 (- \frac{b}{6})$ .

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{b}{6}$ into the numerator.

$- 6 \frac{- b}{6} = - 6 (\frac{5}{8})$

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- b}{6} = - 6 (\frac{5}{8})$

Cancel the common factor.

$6 \cdot - 1 \frac{- b}{6} = - 6 (\frac{5}{8})$

Rewrite the expression.

$- - b = - 6 (\frac{5}{8})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 b = - 6 (\frac{5}{8})$

Multiply $b$ by $1$ .

$b = - 6 (\frac{5}{8})$

Simplify the right side.

Simplify $- 6 (\frac{5}{8})$ .

Cancel the common factor of $2$ .

Factor $2$ out of $- 6$ .

$b = 2 (- 3) \frac{5}{8}$

Factor $2$ out of $8$ .

$b = 2 \cdot - 3 \frac{5}{2 \cdot 4}$

Cancel the common factor.

$b = 2 \cdot - 3 \frac{5}{2 \cdot 4}$

Rewrite the expression.

$b = - 3 (\frac{5}{4})$

Combine $- 3$ and $\frac{5}{4}$ .

$b = \frac{- 3 \cdot 5}{4}$

Simplify the expression.

Multiply $- 3$ by $5$ .

$b = \frac{- 15}{4}$

Move the negative in front of the fraction.

$b = - \frac{15}{4}$

The result can be shown in multiple forms.

Exact Form:

$b = - \frac{15}{4}$

Decimal Form:

$b = - 3.75$

Mixed Number Form:

$b = - 3 \frac{3}{4}$

Solve for b -1/4=-1/6b-7/8

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